A backward Euler difference scheme for the integro-differential equations with the multi-term kernels
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Publication:5030642
DOI10.1080/00207160.2019.1613529zbMath1483.65216OpenAlexW2943046318WikidataQ127936754 ScholiaQ127936754MaRDI QIDQ5030642
Wenlin Qiu, Shu-fang Hu, Hong-Bin Chen
Publication date: 17 February 2022
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160.2019.1613529
Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)
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Cites Work
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- On finite difference methods for fourth-order fractional diffusion-wave and subdiffusion systems
- Two high-order numerical algorithms for solving the multi-term time fractional diffusion-wave equations
- The Galerkin finite element method for a multi-term time-fractional diffusion equation
- Circulation of car traffic in congested urban areas
- Uniform \(L^ 1\) behavior in classes of integrodifferential equations with convex kernels
- A finite difference scheme for partial integro-differential equations with a weakly singular kernel
- On the backward Euler method for time dependent parabolic integrodifferential equations with nonsmooth initial data
- The global behavior of time discretization for an abstract Volterra equation in Hilbert space
- Numerical asymptotic stability for the integro-differential equations with the multi-term kernels
- A compact finite difference scheme for the fourth-order fractional diffusion-wave system
- The time discretization in classes of integro-differential equations with completely monotonic kernels: weighted asymptotic stability
- Numerical methods for solving the multi-term time-fractional wave-diffusion equation
- The time discretization in classes of integro-differential equations with completely monotonic kernels: Weighted asymptotic convergence
- A Compact Difference Scheme for an Evolution Equation with a Weakly Singular Kernel
- Optimal distribution of traffic flows in emergency cases
- A new implicit compact difference scheme for the fourth-order fractional diffusion-wave system
- Discretized Fractional Calculus
- An Upwind-Euler Scheme for an ODE-PDE Model of Supply Chains
- Error Estimates of Crank–Nicolson-Type Difference Schemes for the Subdiffusion Equation
- Uniform $L^1 $ Behavior in Classes of Integrodifferential Equations with Completely Monotonic Kernels
- A Difference Scheme for a Nonlinear Partial Integrodifferential Equation
- Uniform $L^1 $ Behavior for the Solution of a Volterra Equation with a Parameter
- Ritz-Volterra reconstructions and a posteriori error analysis of finite element method for parabolic integro-differential equations
- A second-order BDF compact difference scheme for fractional-order Volterra equation